Geometry and TrigonometryHardComparing a cube and a pyramid
Geometry and Trigonometry practice question
A cube has edge length 3 units. A square pyramid has the same base as one face of the cube and the same height as the cube. What is the volume of the pyramid, in cubic units?
Answer: 9
Pyramid volume = (1/3) × base area × height = (1/3)(9)(3) = 9. (It is one third of the cube's 27.)
Common wrong answers
- If you answered 3
- 3 divides 9 by 3 again, applying the 1/3 twice.
- If you answered 18
- 18 is two thirds of the cube — the part OUTSIDE the pyramid.
- If you answered 27
- 27 is the cube's volume; the pyramid is one third of it.
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